Numerical validation of a constraints-based multiscale simulation method for solids

Konstantin Fackeldey*, Dorian Krause, Rolf Krause

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

We present numerical validation studies for a concurrent multiscale method designed to combine molecular dynamics and finite element analysis targeting the simulation of solids. The method is based on an overlapping domaindecomposition and uses weak matching constraints to enforce matching between the finite element displacement field and the projection of the molecular dynamics displacement field on the mesh. A comparison between our method and the well-known bridging domain method by Xiao and Belytschko [22] is presented. As part of our validation study we discuss applicability of the method to the simulation of fracture propagation and show results.

Original languageEnglish (US)
Title of host publicationMeshfree Methods for Partial Differential Equations V
Pages141-154
Number of pages14
DOIs
StatePublished - 2011
Event5th International Workshop on Meshfree Methods for Partial Differential Equations - Bonn, Germany
Duration: Aug 17 2009Aug 19 2009

Publication series

NameLecture Notes in Computational Science and Engineering
Volume79 LNCSE
ISSN (Print)1439-7358

Conference

Conference5th International Workshop on Meshfree Methods for Partial Differential Equations
Country/TerritoryGermany
CityBonn
Period08/17/0908/19/09

Keywords

  • finite elements
  • molecular dynamics
  • multiscale
  • weak coupling

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Engineering
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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